Setting Up a Chi-Square Goodness of Fit Test

AP Statistics· difficulty 2/5

A die is rolled 120 times. Under the null hypothesis the die is fair.

Die Rolls (n=120) 1 2 3 4 5 6 22 17 20 18 25 18

What is the expected count for each face under H0?

  • A

    10

  • B

    20

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  • C

    120

  • D

    60

Explanation

Under H0, each face is equally likely with probability 1/6. Expected count = 120 × (1/6) = 20.

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